Let us consider a generalized \(n-dim\)  non-Riemannian Geometry, where the space apart from curvature possesses also torsion and non-metricity. Following Schouten [1]} we shall refer to this general \(n-dim\)  manifold endowed with a metric and an independent affine connection as an \(L_{n}\)  space. We will use the definitions and notations of [2]} so we will go through the basic setup rather briefly here and refer the reader to [2]} for more details. We consider a non-Riemannian manifold endowed with a metric \(g_{\mu \nu }\)  and an independent affine connection \(\Gamma ^{\lambda }_{\;\;\;\mu \nu }\) . We define the curvature, torsion and non-metricity tensors according to
\(R^{\mu }_{\;\;\;\nu \alpha \beta }:= 2\partial _{[\alpha }\Gamma ^{\mu }_{\;\;\;|\nu |\beta ]}+2\Gamma ^{\mu }_{\;\;\;\rho [\alpha }\Gamma ^{\rho }_{\;\;\;|\nu |\beta ]} \) 
\(S_{\mu \nu }^{\;\;\;\lambda }:=\Gamma ^{\lambda }_{\;\;\;[\mu \nu ]}\) 
\(Q_{\alpha \mu \nu }:=- \nabla _{\alpha }g_{\mu \nu }\) 
